✦ LIBER ✦
Stability of standing waves for nonlinear defocusing fourth-order dispersive Schrödinger equation with unbounded potentials
✍ Scribed by Guanggan Chen; Jian Zhang; Yunyun Wei
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 133 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
This paper is concerned with a nonlinear defocusing fourth‐order dispersive Schrödinger equation with unbounded potentials which models propagation in fiber arrays. We analyze the global existence of the solution and also obtain the existence of the standing waves for the system. Furthermore, we prove that the standing waves are orbitally stable. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)